On a Nonlinear Elliptic Transmission Problem with Critical Growth

Giovany M. Figueiredo; Marcelo Montenegro

Abstract

This paper is concerned with the existence of nontrivial solutions to a class of transmission problems with critical growth in a bounded domain on RN. Our approach is based on variational methods.

Author information

Contact details are reproduced from the original publication and may be historical.

Giovany M. Figueiredo

Universidade Federal do Pará, Faculdade de Matemática, CEP 66075-110 Belém PA, Brasil

giovany@ufpa.br

Marcelo Montenegro

Universidade Estadual de Campinas, IMECC, Departamento de Matemática, Rua Sérgio Buarque de Holanda 651, CEP 13083-859 Campinas SP, Brasil

msm@ime.unicamp.br

Keywords

Semilinear elliptic equation
nonlinear transmission condition
critical growth

Mathematics Subject Classification

45M20, 35J65, 35J20, 35Q60, 78A50

Suggested citation

G. M. Figueiredo, M. Montenegro. “On a Nonlinear Elliptic Transmission Problem with Critical Growth.” Journal of Convex Analysis 20 (2013), No. 4, 947–954.